GCD of 200, 348, 794, 512 Calculator

Given Input numbers are 200, 348, 794, 512

In the factoring method, we have to find the divisors of all numbers

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

GCD of numbers is the greatest common divisor

So, the GCD (200, 348, 794, 512) = 2.

Given numbers are 200, 348, 794, 512

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 794 are 2 x 397

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

The highest common occurrence is 2¹

Therefore, GCD of 200, 348, 794, 512 is 2.

Given numbers are 200, 348, 794, 512

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(200, 348) = 17400

GCD(200, 348) = ( 200 x 348 ) / 17400

= 200 / 348

= 200

Step2:

LCM(4, 794) = 1588

GCD(4, 794) = ( 4 x 794 ) / 1588

= 4 / 794

= 4

Step3:

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

= 2 / 512

= 2

So, Greatest Common Divisor of 200, 348, 794, 512 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 325, 226, 837
• GCD of 938, 459, 552, 503
• GCD of 901, 102, 249, 979
• GCD of 677, 658, 817, 571
• GCD of 321, 406, 774, 799

Given numbers are 200, 348, 794, 512
The greatest common divisor of numbers 200, 348, 794, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 348, 794, 512 is 2.

1. What is the GCD of 200, 348, 794, 512?

GCD of given numbers 200, 348, 794, 512 is 2

2. How to calculate the greatest common divisor of 200, 348, 794, 512?

We can find the highest common divisor of 200, 348, 794, 512 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 200, 348, 794, 512 i.e 2.

3. How can I use the GCD of 200, 348, 794, 512Calculator?

Out the numbers 200, 348, 794, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.